How to define kinetic energy and potential energy from EM tensor in newtonian physics?

The question arises from here. People wants to define kinetic energy and potential energy from EM tensor.

My question: How to define kinetic energy and potential energy from EM tensor in newtonian physics.

The EM tensor in newtonian physics is given by taking the limit $vll c$ in EM tensor of particle in flat space limit, which can be derived by introducing a 4D delta function.